Minimum Cost to Equalize Arrays Using Swaps

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Medium

You are given two integer arrays nums1 and nums2 of size n.

You can perform the following two operations any number of times on these two arrays:

Swap within the same array: Choose two indices i and j. Then, choose either to swap nums1[i] and nums1[j], or nums2[i] and nums2[j]. This operation is free of charge.
Swap between two arrays: Choose an index i. Then, swap nums1[i] and nums2[i]. This operation incurs a cost of 1.

Return an integer denoting the minimum cost to make nums1 and nums2 identical. If this is not possible, return -1.

Example 1:

Input: nums1 = [10,20], nums2 = [20,10]

Output: 0

Explanation:

Swap nums2[0] = 20 and nums2[1] = 10.
- nums2 becomes [10, 20].
- This operation is free of charge.
nums1 and nums2 are now identical. The cost is 0.

Example 2:

Input: nums1 = [10,10], nums2 = [20,20]

Output: 1

Explanation:

Swap nums1[0] = 10 and nums2[0] = 20.
- nums1 becomes [20, 10].
- nums2 becomes [10, 20].
- This operation costs 1.
Swap nums2[0] = 10 and nums2[1] = 20.
- nums2 becomes [20, 10].
- This operation is free of charge.
nums1 and nums2 are now identical. The cost is 1.

Example 3:

Input: nums1 = [10,20], nums2 = [30,40]

Output: -1

Explanation:

It is impossible to make the two arrays identical. Therefore, the answer is -1.

Constraints:

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